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Finding the Fourth Proportional to 3,046.82, 4,564.10 and 1,401.08

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Solution

The fourth proportional to 3,046.82, 4,564.10 and 1,401.08 is: 2,098.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.82 : 4,564.10 = 1,401.08 : x
  2. Step 2: Convert to fraction form
    3,046.82/4,564.10 = 1,401.08/x
  3. Step 3: Cross multiply
    3,046.82x = 4,564.10 × 1,401.08
  4. Step 4: Simplify right side
    3,046.82x = 6,394,669.23
  5. Step 5: Solve for x
    x = 6,394,669.23/3,046.82
  6. Step 6: Final answer
    x = 2,098.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.